123121137313 has 2 divisors, whose sum is σ = 123121137314. Its totient is φ = 123121137312.

The previous prime is 123121137301. The next prime is 123121137319. The reversal of 123121137313 is 313731121321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88005375649 + 35115761664 = 296657^2 + 187392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123121137313 is a prime.

It is not a weakly prime, because it can be changed into another prime (123121137319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560568656 + 61560568657.

It is an arithmetic number, because the mean of its divisors is an integer number (61560568657).

Almost surely, 2^123121137313 is an apocalyptic number.

It is an amenable number.

123121137313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121137313 is an equidigital number, since it uses as much as digits as its factorization.

123121137313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 28.

Adding to 123121137313 its reverse (313731121321), we get a palindrome (436852258634).

The spelling of 123121137313 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-seven thousand, three hundred thirteen".